In classical field theory, some solutions can be classified with respect to the topological mapping between the space of coordinates and the internal space of configurations, and are of interest in physics [1]}, [2]}, [3]}. In a scalar field theory in \((1,1)\)  dimensions, the topological defect is the kink (and antikink). In this case, the scalar field \(\phi (x)\)  has different asymptotic limits for \(x\rightarrow \pm \infty \)  and the solution is linearly stable. The static kink solution \(\phi _K(x)\)  is related to the static antikink solution \(\phi _{\bar{K}}(x)\)  by \(\phi _{\bar{K}}(x)=-\phi _{K}(x)\) . The nontopological defect is named lump [4]}, [5]}. In this case, the scalar field has equal asymptotic limits for \(x\rightarrow \pm \infty \)  and is unstable under linear perturbations.
